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ALGEBRA OF SETS
Jose Mendoza
9-II
Algebra II
Mr. Eladio
Basic operations
 Union
 Intersection
 Difference
 Complement Set
 Disjoint Sets
 Power Set
Union
Are all the sing inside the sets you are
uniting.
For example;
The union of sets A and B is the set of
all elements which belong to A, to B or
to both.
Intersection
 Are the sing which are in common with
other set or sets.
For example;
A={a, s, d} b={s, f, I }
Intersection={s}
Difference
 Is when in a set you have and element
but this element you don’t have it in
the other set.
 For example;
 The difference of sets A and B is the
set of elements which belong to A, but
do not belong to B.
Complement Set
 All the elements of the universal set.
Disjoint Sets
 When sets have no elements in
common.
Power Set
 Let U be any non empty set and
let P(U) denote the set of all subsets
of U. Set P(U) is called the power set
of the set U . Elements of the
set P(U) are subsets of the set U.

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Algebra of sets

  • 1. ALGEBRA OF SETS Jose Mendoza 9-II Algebra II Mr. Eladio
  • 2. Basic operations  Union  Intersection  Difference  Complement Set  Disjoint Sets  Power Set
  • 3. Union Are all the sing inside the sets you are uniting. For example; The union of sets A and B is the set of all elements which belong to A, to B or to both.
  • 4. Intersection  Are the sing which are in common with other set or sets. For example; A={a, s, d} b={s, f, I } Intersection={s}
  • 5. Difference  Is when in a set you have and element but this element you don’t have it in the other set.  For example;  The difference of sets A and B is the set of elements which belong to A, but do not belong to B.
  • 6. Complement Set  All the elements of the universal set.
  • 7. Disjoint Sets  When sets have no elements in common.
  • 8. Power Set  Let U be any non empty set and let P(U) denote the set of all subsets of U. Set P(U) is called the power set of the set U . Elements of the set P(U) are subsets of the set U.